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Ideal Gas Law Molecular Mass, the Mole, and Avogadro’s Number: Atomic mass unit: 1 u = 1.6605 × 10 -27 kg the mass per mole (g/mol) of a substance has the same numerical value as the atomic or molecular mass of the substance (in u) n # of moles N # of particles N A 6.022 × 10 23 mol -1 m mass of sample m particle mass of particle A N n N = m = m particle N Mass per mole = m particle N A Mass per mole m n = Ideal Gas Law: 8.31 J PV nRT R mol K = = i 23 1.38 10 J PV NkT k K = = × Boyle’s law (applies if n and T are constant): i i f f PV PV = Charles’ law (applies if n and P are constant): f i i f V V T T =

Ideal Gases

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Ideal Gases

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  • Ideal Gas Law Molecular Mass, the Mole, and Avogadros Number: Atomic mass unit: 1 u = 1.6605 10-27 kg

    the mass per mole (g/mol) of a substance has the same numerical value as the atomic or molecular mass of the substance (in u)

    n # of moles N # of particles NA 6.022 1023 mol-1 m mass of sample mparticle mass of particle

    A

    NnN

    = m = mparticle N Mass per mole = mparticle NA

    Mass per molemn =

    Ideal Gas Law:

    8.31 JPV nRT R mol K= = i

    231.38 10 JPV NkT k K= =

    Boyles law (applies if n and T are constant): i i f fPV P V=

    Charles law (applies if n and P are constant): fii f

    VVT T

    =